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Finding the Fourth Proportional to 209,984.31, 289,802.94 and 119,353.89

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Solution

The fourth proportional to 209,984.31, 289,802.94 and 119,353.89 is: 164,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,984.31 : 289,802.94 = 119,353.89 : x
  2. Step 2: Convert to fraction form
    209,984.31/289,802.94 = 119,353.89/x
  3. Step 3: Cross multiply
    209,984.31x = 289,802.94 × 119,353.89
  4. Step 4: Simplify right side
    209,984.31x = 34,589,108,222.44
  5. Step 5: Solve for x
    x = 34,589,108,222.44/209,984.31
  6. Step 6: Final answer
    x = 164,722.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.